Vol. 28, No. 2, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Classes without the amalgamation property

Stephen Daniel Comer

Vol. 28 (1969), No. 2, 309–318
Abstract

The contents of this paper belong to the general algebraic theory of those algebras which are studied in connection with algebraic logic. The main results, Theorems 1 and 2, give sufficient conditions for the amalgamation and the embedding property to fail in a class of Boolean algebras with operators. As a corollary, for 1 < α < ω, the amalgamation property fails in the class of all (representable) cylindric algebras of dimension α and in the class of all (representable) polyadic (equality) algebras of dimension α. Thus, there are finitely axiomatizable equational classes of Boolean algebras with operators for which the amalgamation property fails.

Mathematical Subject Classification
Primary: 02.50
Secondary: 08.00
Milestones
Received: 22 February 1968
Published: 1 February 1969
Authors
Stephen Daniel Comer